Lecture
This lecture covers the concept of the dimension of a subspace in a finite-dimensional vector space. It explains the theorems related to subspaces, including the conditions for a subspace to have the same dimension as the vector space. Through examples, the instructor demonstrates how to determine if a given subspace is equal to the entire vector space. The lecture also discusses the existence of bases for subspaces and how to verify if a subspace is a basis for the vector space.